Q: What are the factor combinations of the number 700,310,664?

 A:
Positive:   1 x 7003106642 x 3501553323 x 2334368884 x 1750776666 x 1167184448 x 875388339 x 7781229612 x 5835922218 x 3890614819 x 3685845624 x 2917961127 x 2593743236 x 1945307438 x 1842922854 x 1296871657 x 1228615272 x 972653776 x 9214614108 x 6484358114 x 6143076152 x 4607307171 x 4095384216 x 3242179228 x 3071538342 x 2047692456 x 1535769513 x 1365128684 x 10238461026 x 6825641368 x 5119232052 x 3412824104 x 170641
Negative: -1 x -700310664-2 x -350155332-3 x -233436888-4 x -175077666-6 x -116718444-8 x -87538833-9 x -77812296-12 x -58359222-18 x -38906148-19 x -36858456-24 x -29179611-27 x -25937432-36 x -19453074-38 x -18429228-54 x -12968716-57 x -12286152-72 x -9726537-76 x -9214614-108 x -6484358-114 x -6143076-152 x -4607307-171 x -4095384-216 x -3242179-228 x -3071538-342 x -2047692-456 x -1535769-513 x -1365128-684 x -1023846-1026 x -682564-1368 x -511923-2052 x -341282-4104 x -170641


How do I find the factor combinations of the number 700,310,664?

Unfortunately, there's not simple formula to identifying all of the factors of a number and it can be a tedious process when trying to identify the divisors of larger numbers. To find the factor combinations of the number 700,310,664, it is easier to work with a table - it's called factoring from the outside in.

Outside in Factoring

We start by creating a table and writing 1 on the left side and then the number we're trying to find the factors for on the right side in a table. Then, below that, write the numbers as a negative as well.

1 700,310,664
-1 -700,310,664

Why are the negative numbers included?

When you multiply two negative numbers together, you get a positive number. That means both the positive and negative numbers are factors of 700,310,664.

Example:
1 x 700,310,664 = 700,310,664
and
-1 x -700,310,664 = 700,310,664
Notice both answers equal 700,310,664

With that explanation out of the way, let's continue. Next, we take the number 700,310,664 and divide it by 2:

700,310,664 ÷ 2 = 350,155,332

If the quotient is a whole number, then 2 and 350,155,332 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 350,155,332 700,310,664
-1 -2 -350,155,332 -700,310,664

Now, we try dividing 700,310,664 by 3:

700,310,664 ÷ 3 = 233,436,888

If the quotient is a whole number, then 3 and 233,436,888 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 233,436,888 350,155,332 700,310,664
-1 -2 -3 -233,436,888 -350,155,332 -700,310,664

Let's try dividing by 4:

700,310,664 ÷ 4 = 175,077,666

If the quotient is a whole number, then 4 and 175,077,666 are factors. In this case, the quotient is a whole number. Write them in the table inside the other two factors like the below example. Don't forget to write the negative numbers too!

Here is what our table should look like at this step:

1 2 3 4 175,077,666 233,436,888 350,155,332 700,310,664
-1 -2 -3 -4 -175,077,666 -233,436,888 -350,155,332 700,310,664
Keep dividing by the next highest number until you cannot divide anymore.

If you did it right, you will end up with this table:

123468912181924273638545772761081141521712162283424565136841,0261,3682,0524,104170,641341,282511,923682,5641,023,8461,365,1281,535,7692,047,6923,071,5383,242,1794,095,3844,607,3076,143,0766,484,3589,214,6149,726,53712,286,15212,968,71618,429,22819,453,07425,937,43229,179,61136,858,45638,906,14858,359,22277,812,29687,538,833116,718,444175,077,666233,436,888350,155,332700,310,664
-1-2-3-4-6-8-9-12-18-19-24-27-36-38-54-57-72-76-108-114-152-171-216-228-342-456-513-684-1,026-1,368-2,052-4,104-170,641-341,282-511,923-682,564-1,023,846-1,365,128-1,535,769-2,047,692-3,071,538-3,242,179-4,095,384-4,607,307-6,143,076-6,484,358-9,214,614-9,726,537-12,286,152-12,968,716-18,429,228-19,453,074-25,937,432-29,179,611-36,858,456-38,906,148-58,359,222-77,812,296-87,538,833-116,718,444-175,077,666-233,436,888-350,155,332-700,310,664

More Examples

Here are some more numbers to try:

700,310,662700,310,663700,310,665700,310,666
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